Perhaps not--we have to see how stupid the Democrats are. If they file lawsuits that everyone knows are frivolous, they risk an awful lot. They will have defend these lawsuits on something much firmer than "hanging and pregnant chads" this time---and they know it.
I think they have to mount some type of attack regardless of the size of Bush's victory just to keep a good chunk of their base from disowning them. You know the Radical Left is going to think Bush stole the election even if God comes down to Earth to prove that it isn't so. :-)